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Updated: Jun 23, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
Published on: December 3, 2013
Vectorial aerial-image computations of three-dimensional objects based on the extended Nijboer-Zernike theory
S van Haver1, J J M Braat, A J E M Janssen
1Delft University of Technology, IST-Optics Research Group, Lorentzweg 1, NL-2628CJ Delft, The Netherlands. s.vanhaver@tudelft.nl
Abstract:
We present details of a novel imaging algorithm based on the extended Nijboer-Zernike (ENZ) theory of diffraction. We derive integral expressions relating the electric field distribution in the entrance pupil of an optical system to the electric field in its focal region. The evaluation of these integrals is made possible by means of a highly accurate and efficient series expansion similar to those occurring in standard ENZ theory. Based on these results an ENZ imaging scheme is constructed and evaluated in detail with attention to the convergence properties and computational complexity of the new method.
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